a truck`s gas tank is 1/4 full. after 15 gallons of gas are added, the tank is 7/8 full. what is the gallon capacity of the gas tank?
2007-07-04 16:10:24 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
First, subtract 1/4 from 7/8 to see what fraction of the tank was taken up by the 15 gallons of gas:
7/8 - 1/4 = 7/8 - 2/8 = 5/8 = 0.625
So, 0.625 * x = 15, where x is the capacity of the tank:
0.625 * x = 15
x = 24 gallons
2007-07-04 16:18:28 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Let x be the gallon capacity of the gas tank.
Balance by the difference,
15 gal = (7/8 - 1/4)x = (5/8) x
x = 3*8 = 24 gal
2007-07-04 23:54:26 · answer #2 · answered by sahsjing 7 · 0⤊ 0⤋
C=capacity of tank
(1/4) C + 15 = (7/8) C
(2/8) C + 15 = (7/8) C
15 = (5/8) C
C= 15 (8/5) = 24 gallons
2007-07-04 23:29:01 · answer #3 · answered by skipper 7 · 0⤊ 0⤋
1/4x+15=7/8x
2/8x+15 = 7/8x
15 = 5/8x
15*8/5=x
3*8=x
24=x
the tank has 24 gallons
2007-07-04 23:16:45 · answer #4 · answered by eric l 6 · 0⤊ 0⤋
15 gal is â
-¼=â
of a tank so the tank capacity is
15/(â
)=24 gal
2007-07-04 23:15:38 · answer #5 · answered by yupchagee 7 · 0⤊ 0⤋
24 gls
2007-07-04 23:17:15 · answer #6 · answered by JAMES M 2 · 0⤊ 0⤋